Two identities for the Bernoulli-Euler numbers

• Autores: N. Gauthier
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 39, Nº. 7, 2008, págs. 937-944
• Idioma: inglés
• DOI: 10.1080/00207390801935897
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• Resumen

  • Two identities for the Bernoulli and for the Euler numbers are derived. These identities involve two special cases of central combinatorial numbers. The approach is based on a set of differential identities for the powers of the secant. Generalizations of the Mittag-Leffler series for the secant are introduced and used to obtain closed-form expressions for the coefficients.